Suppose that X is waiting time in minutes for a bus and its p.d.f. is given by f (x) = 15 , for 0 ≤ x ≤ 5 and = 0 otherwise. Find the probability that waiting time is between 1 and 3 - Mathematics and Statistics

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Sum

Suppose that X is waiting time in minutes for a bus and its p.d.f. is given by

f (x) = `1/ 5` , for 0 ≤ x ≤ 5 and = 0 otherwise.

Find the probability that waiting time is between 1 and 3

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Solution

Required probabilityP(1 < X < 3)

= ` int_(1)^3 f (x) dx`

= ` int_(1)^3 1/5 (x) dx`

= ` int_(1)^3 1/5  1 dx`

= `1/5  [x]_1^3`

= `1/5[3-1]`

= `2/5`

Concept: Probability Distribution of Discrete Random Variables
  Is there an error in this question or solution?
Chapter 7: Probability Distributions - Exercise 7.2 [Page 239]

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